Common Core State Standards

The Times They Are A-Changin’

Agenda

• Commonalities & Connections• Determining Differences• Impacting Instruction• Necessary Nows

COMMONALITIES & CONNECTIONS

Show-Me Standards &

Mathematics Common Core State Standards

Common Core Standards

Mathematical Content

+Mathematical Practice

College and Career Ready

Common Standards

Show-Me Standards

Knowledge (content)

+ Performance (process)

well-prepared for future education, work, and civic responsibilities

Standards for Mathematical Practice1. Make sense of

problems and persevere in solving them. (3.1, 3.2)

2. Reason abstractly and quantitatively. (3.5, 3.8)

3. Construct viable arguments and critique the reasoning of others. (1.7, 1.8, 3.3, 3.5)

4. Model with mathematics. (1.10, 3.8)

5. Use appropriate tools strategically. (1.4, 2.7)

6. Attend to precision. (2.1, 1.7)

7. Look for and make use of structure. (1.7)

8. Look for and express regularity in repeated reasoning. (1.6)

Red font indicates Show-Me Process standards that align to the CCSS Mathematical Practices Standards.

Grade Level Overview Page

Standards for Mathematical

Content

Comparing the GLEs/CLEs and CCSS

• Neither are curriculum documents• GLEs/CLEs are assessment specifications that

define assessable content, procedures, and processes for NCLB mandated assessments

• Both include content, procedures, and processes that are aligned to the Missouri Show-Me Standards

• Both are aligned to the National Council of Teachers of Mathematics K – 8 Curriculum Focal Points (2006).

• Alignment Analysis• Commonalities• CCSS not aligned to the v2.0 GLEs and

CLEs

Commonalities & Connections Documents

CCSS Mathematics K - 8 Domains 8/2011

Domain K 1 2 3 4 5 6 7 8Counting and

CardinalityK.CC.1, 2, 3, 4a, 4b, 4c, 5, 6, 7

Operations and Algebraic Thinking

K.OA.1, 2, 3, 4, 5 1.OA.1, 2, 3, 4, 5, 6, 7, 8

2.OA.1, 2, 3, 4 3.OA.1, 2, 3, 4, 5, 6, 7, 8, 9

4.OA.1, 2, 3, 4, 5 5.OA.1, 2, 3

Numbers and Operations in Base

Ten

K.NBT.1 1.NBT.1, 2a, 2b, 2c, 3, 4, 5, 6

2.NBT.1a, 1b, 2, 3, 4, 5, 6, 7, 8, 9

3.NBT.1, 2, 3 4.NBT.1, 2, 3, 4, 5, 6

5.NBT.1, 2, 3a, 3b, 4, 5, 6, 7

Numbers and Operations -

Fractions

3.NF.1, 2a, 2b, 3a, 3b, 3c, 3d

4.NF.1, 2, 3a, 3b, 3c, 3d, 4a, 4b, 4c, 5, 6, 7

5.NF.1, 2, 3, 4a, 4b, 5a, 4b, 5a, 5b, 6, 7a, 7b, 7c

Measurement and Data

K.MD.1, 2, 3 1.MD.1, 2, 3, 4 2.MD.1, 2, 3, 4, 5, 6, 7, 8, 9, 10

3.MD.1,2, 3, 4, 5a, 5b, 6, 7a, 7b, 7c, 7d, 8

4.MD.1, 2, 3, 4, 5a, 5b, 6, 7

5.MD.1, 2, 3a, 3b, 4, 5a, 5b, 5c

Geometry K.G.1, 2, 3, 4, 5, 6

1.G.1, 2, 3 2.G.1, 2, 3 3.G.1, 2 4.G.1, 2, 3 5.G1, 2, 3, 4 6.G.1, 2, 3, 4 7.G1, 2, 3, 4, 5, 6

8.G.1a, 1b, 1c, 2, 3, 4, 5, 6, 7, 8, 9

Ratios and Proportional Relationships

6.RP.1, 2, 3a, 3b, 3c, 3d

7.RP.1, 2a, 2b, 2c, 2d, 3

The Number System

6.NS.1, 2, 3, 4, 5, 6a, 6b, 6c, 7a, 7b, 7c, 7d, 8

7.NS.1a, 1b, 1c, 1d, 2a, 2b, 2c, 2d, 3

8.NS.1, 2,

Expressions and Equations

6.EE1, 2a, 2b, 2c, 3, 4, 5, 6, 7, 8, 9

7.EE.1, 2, 3, 4a, 4b

8.EE.1, 2, 3, 4, 5 ,6, 7a, 7b, 8a, 8b, 8c

Statistics and Probability

6.SP.1, 2, 3, 4, 5a, 5b, 5c, 5d

7.SP.1, 2, 3, 4, 5, 6, 7a, 7b, 8a, 8b, 8c

8.SP.1, 2, 3, 4

Functions 8.F.1, 2, 3, 4, 5

CCSS Mathematics Traditional Pathway HS Domains 8/2011

ConceptualCategory Domain Algebra I Geometry Algebra II Fourth

Course

Number and

Quantity

The Real Number System N.RN.1, 2, 3

Quantities N.Q. 1, 2, 3

The Complex Number System N.CN.1, 2, 7, (+)8, (+)9 (+)N.CN.3, 4, 5, 6

Vector and Matrix Quantities (+)N.VM.1, 2, 3, 4a, 4b, 4c, 5a, 5b, 6, 7, 8, 9, 10, 11, 12

Algebra

Seeing Structure in Expressions A.SSE.1a, 1b, 2, 3a, 3b, 3c

A.SSE.1a, 1b, 2, 4

Arithmetic with Polynomials and Rational Expressions

A.APR.1 A.APR.1, 2, 3, 4 (+)5, 6, (+)7

Creating Equations A.CED. 1, 2, 3, 4 A.CED.1, 2, 3, 4

Reasoning with Equations and Inequalities A.REI.I, 3, 4a, 4b, 5, 6, 7, 10, 11, 12

A.REI.2, 11 (+) A.REI. 8, 9

Functions and

Models

Interpreting Functions F.IF.1, 2, 3, 4, 5, 6, 7a, 7b, 7e, 8a, 8b, 9

F.IF.4, 5, 6, 7b, 7c, 7e, 8, 9

F.IF.7d

Building Functions F.BF.1a, 1b, 2, 3, 4a F.BF.1b, 3, 4a (+)F.BF.1c, 4c, 4d, 5

Linear, Quadratic and Exponential Models F.LE.1a, 1b, 1c, 2, 3, 5 F.LE.4

Trigonometric Functions F.TF.1, 2, 5, 8 (+)F.TF.3, 4, 6, 7, 9

Geometry

Congruence G.CO.1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13

Similarity, Right Triangles, and Trigonometry G.SRT.1a, 1b, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

Circles G.C. 1, 2, 3, (+)4, 5

Expressing Geometric Properties with Equations G.GPE.1, 2, 4, 5, 6, 7 (+)G.GPE.3

Geometric Measurement and Dimension G.GMD.1, 3, 4 (+)G.GMD.2

Modeling with Geometry G.GMG.1, 2, 3

Statistics and

Probability

Interpreting Categorical and Quantitative Data S.ID.1, 2, 3, 5, 6a, 6b, 6c, 7, 8, 9

S.ID.4

Making Inferences and Justifying Conclusions S.IC.1, 2, 3, 4, 5, 6

Conditional Probabilities and the Rules of Probability S.CP.1, 2, 3, 4, 5, 6, 7, (+)8, (+)9

Using Probability to Make Decisions (+)S.MD.6, 7 (+)S.MD.6, 7 (+)S.MD.5a, 5b

CCSS/v2.0 GLEs Alignment Analysis

Domain CCSS Cluster/Standards Missouri v2.0 GLE

CCSS Alignment to v2.0 GLE/CLE

Counting and

Cardinality (CC)

K.CC1Count to 100 by ones and by tens..

N1AK *rote count to 100 and recognize numbers up to 31

Partial alignment to bold, italicized portion of GLE

N1D1 *skip count by 2s, 5s and 10s

Partial alignment to bold, italicized portion of GLE

Mathematics Commonalities

CCSS Grades K – 8 Domain and Cluster Alignments to v2.0 GLEs/CLEs

Domain K 1 2Below Grade Level

At Grade Level

Above Grade Level

Below Grade Level

At Grade Level

Above Grade Level

Below Grade Level

At Grade Level

Above Grade Level

Counting and Cardinality

N1AKN1DKN3BK

N1A1N1D1

N3BKA3AK

N1A1

Operations and Algebraic Thinking

N1CKA3AK

N2A1 N2A1A2A1A3A1

N3C2A3A2

N3B2

N1C1A2B1

N1D1 A3A2 N1D3N2A3

N1C1N3B1N3C1N1C1

CCSS/v2.0 GLEs Alignment Analysis

Domain CCSS Cluster/Standards Missouri v2.0 GLE

CCSS Alignment to v2.0 GLE/CLE

Counting and

Cardinality (CC)

K.CC2 Count forward beginning from a given number within the known sequence (instead of having to begin at 1).

Underlined portion is not aligned to any GLE/CLE.

K.CC3 Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20 (with 0 representing a count of no objects).

N1A1 *read, write, and compare whole numbers less than 100

Partial alignment to bold, italicized portion of Grade 1 GLE

N3BK *connect number words (orally) and quantities they represent

Partial alignment to bold, italicized portion of GLEBold underlined portion of the CCSS

represents content/processes/procedures that do not align with any GLEs/CLEs.

DOMAIN CCSS v2.0 GLE/CLE CCSS Content not addressed in GLEs/CLEsNumbers and Operations-

Fractions (NF)

3.NF.1, 2a, 2b, 3a, 3b, 3c, 3d

N1C3, N2A3N1B4N1A5, N1B5

3.NF1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.

3.NF3b Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model

3.NF3d Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

IMPACTING INSTRUCTION

INSTRUCTIONAL FOCUS TIME IN K SHOULD FOCUS ON THESE CRITICAL AREAS:

(1) representing, relating, and operating on whole numbers, initially with sets of objects;(2) describing shapes and space. More learning time in Kindergarten should be devoted to number than other topics.

DOMAINâ

CCSSMO v2.0 GLE/CLE

that aligns to CCSS CCSS Not aligned

Counting and Cardinality (CC)

K.CC.1, 2, 3, 4a, 4b, 4c, 5, 6, 7

*N1AK, *N3BK, *A3AK*N1A1, *N1D1

K.CC.2K.CC.3K.CC.4b, 4cK.CC.7

Operations and Algebraic

Thinking (OA)

K.OA.1, 2, 3, 4, 5

*N1CK, *A3AK*N1A1

K.OA.1

Numbers and Operations in

Base Ten (NBT)

K.NBT.1 *A3AK, *M1AK, *M2AK

NONE

PLANNING FOR PD

CCSS Mathematics K - 8 Domains 7/2011

Domain K 1 2 3 4 5 6 7 8Counting and

CardinalityK.CC.1, 2, 3, 4a, 4b, 4c, 5, 6, 7

Operations and Algebraic Thinking

K.OA.1, 2, 3, 4, 5 1.OA.1, 2, 3, 4, 5, 6, 7, 8

2.OA.1, 2, 3, 4 3.OA.1, 2, 3, 4, 5, 6, 7, 8, 9

4.OA.1, 2, 3, 4, 5 5.OA.1, 2, 3

Numbers and Operations in Base

Ten

K.NBT.1 1.NBT.1, 2a, 2b, 2c, 3, 4, 5, 6

2.NBT.1a, 1b, 2, 3, 4, 5, 6, 7, 8, 9

3.NBT.1, 2, 3 4.NBT.1, 2, 3, 4, 5, 6

5.NBT.1, 2, 3a, 3b, 4, 5, 6, 7

Numbers and Operations -

Fractions

3.NF.1, 2a, 2b, 3a, 3b, 3c, 3d

4.NF.1, 2, 3a, 3b, 3c, 3d, 4a, 4b, 4c, 5, 6, 7

5.NF.1, 2, 3, 4a, 4b, 5a, 4b, 5a, 5b, 6, 7a, 7b, 7c

Measurement and Data

K.MD.1, 2, 3 1.MD.1, 2, 3, 4 2.MD.1, 2, 3, 4, 5, 6, 7, 8, 9, 10

3.MD.1,2, 3, 4, 5a, 5b, 6, 7a, 7b, 7c, 7d, 8

4.MD.1, 2, 3, 4, 5a, 5b, 6, 7

5.MD.1, 2, 3a, 3b, 4, 5a, 5b, 5c

Geometry K.G.1, 2, 3, 4, 5, 6

1.G.1, 2, 3 2.G.1, 2, 3 3.G.1, 2 4.G.1, 2, 3 5.G1, 2, 3, 4 6.G.1, 2, 3, 4 7.G1, 2, 3, 4, 5, 6

8.G.1a, 1b, 1c, 2, 3, 4, 5, 6, 7, 8, 9

Ratios and Proportional Relationships

6.RP.1, 2, 3a, 3b, 3c, 3d

7.RP.1, 2a, 2b, 2c, 2d, 3

The Number System

6.NS.1, 2, 3, 4, 5, 6a, 6b, 6c, 7a, 7b, 7c, 7d, 8

7.NS.1a, 1b, 1c, 1d, 2a, 2b, 2c, 2d, 3

8.NS.1, 2,

Expressions and Equations

6.EE1, 2a, 2b, 2c, 3, 4, 5, 6, 7, 8, 9

7.EE.1, 2, 3, 4a, 4b

8.EE.1, 2, 3, 4, 5 ,6, 7a, 7b, 8a, 8b, 8c

Statistics and Probability

6.SP.1, 2, 3, 4, 5a, 5b, 5c, 5d

7.SP.1, 2, 3, 4, 5, 6, 7a, 7b, 8a, 8b, 8c

8.SP.1, 2, 3, 4

Functions 8.F.1, 2, 3, 4, 5

Five initial domains for professional development:•Grades K – 2 Counting and Cardinality

Numbers and Operations

•Grades K – 5 Operations and Algebraic Thinking•Grades 3 – 5 Number and Operations – Fractions•Grades 6 – 7 Ratios and Proportional Reasoning•Grade 8 – Geometry

ALL professional development should incorporate the Standards for Mathematical Practice

CCSS Mathematics Traditional Pathway HS Domains 7/2011

ConceptualCategory Domain Algebra I Geometry Algebra II Fourth

Course

Number and

Quantity

The Real Number System N.RN.1, 2, 3

Quantities N.Q. 1, 2, 3

The Complex Number System N.CN.1, 2, 7, (+)8, (+)9 (+)N.CN.3, 4, 5, 6

Vector and Matrix Quantities (+)N.VM.1, 2, 3, 4a, 4b, 4c, 5a, 5b, 6, 7, 8, 9, 10, 11, 12

Algebra

Seeing Structure in Expressions A.SSE.1a, 1b, 2, 3a, 3b, 3c

A.SSE.1a, 1b, 2, 4

Arithmetic with Polynomials and Rational Expressions

A.APR.1 A.APR.1, 2, 3, 4 (+)5, 6, (+)7

Creating Equations A.CED. 1, 2, 3, 4 A.CED.1, 2, 3, 4

Reasoning with Equations and Inequalities A.REI.I, 3, 4a, 4b, 5, 6, 7, 10, 11, 12

A.REI.2, 11 (+) A.REI. 8, 9

Functions and

Models

Interpreting Functions F.IF.1, 2, 3, 4, 5, 6, 7a, 7b, 7e, 8a, 8b, 9

F.IF.4, 5, 6, 7b, 7c, 7e, 8, 9

F.IF.7d

Building Functions F.BF.1a, 1b, 2, 3, 4a F.BF.1b, 3, 4a (+)F.BF.1c, 4c, 4d, 5

Linear, Quadratic and Exponential Models F.LE.1a, 1b, 1c, 2, 3, 5 F.LE.4

Trigonometric Functions F.TF.1, 2, 5, 8 (+)F.TF.3, 4, 6, 7, 9

Geometry

Congruence G.CO.1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13

Similarity, Right Triangles, and Trigonometry G.SRT.1a, 1b, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11

Circles G.C. 1, 2, 3, (+)4, 5

Expressing Geometric Properties with Equations G.GPE.1, 2, 4, 5, 6, 7 (+)G.GPE.3

Geometric Measurement and Dimension G.GMD.1, 3, 4 (+)G.GMD.2

Modeling with Geometry G.GMG.1, 2, 3

Statistics and

Probability

Interpreting Categorical and Quantitative Data S.ID.1, 2, 3, 5, 6a, 6b, 6c, 7, 8, 9

S.ID.4

Making Inferences and Justifying Conclusions S.IC.1, 2, 3, 4, 5, 6

Conditional Probabilities and the Rules of Probability S.CP.1, 2, 3, 4, 5, 6, 7, (+)8, (+)9

Using Probability to Make Decisions (+)S.MD.6, 7 (+)S.MD.6, 7 (+)S.MD.5a, 5b

•Implementation of Mathematical Practices

•Review the “Pathways” recommended in the CCSS Appendix A and determine which ones will best benefit your students

•Carefully consider the content in each course and use names that are most appropriate.

Necessary Nows

Immediate Implementations...

• Access the Common Core State Standards and support documents/resources created by DESE at http://www.dese.mo.gov/divimprove/curriculum/common-core-math.htm

• Identify common content within the v2.0 GLEs/CLEs and CCSS that may not be included in grades or courses now and include the content in instruction and assessment.

• Make it a priority to begin implementation of all Standards for Mathematical Practice in K – 12 mathematics classes.

• Implement the Kindergarten Mathematics CCSS during the 2011 – 2012 school year

Common Core Tools…

http://commoncoretools.wordpress.com/tools/• The Illustrative Mathematics Project• Progressions for the Common Core• Technical manual for the Common Core (Jason Zimba)• Hyperlinked version of the mathematics standards• K–8 Standards by domain: Counting and Cardinality,

Operations and Algebraic Thinking, Number and Operations in Base Ten, Number and Operations—Fractions, Measurement and Data, Geometry, Ratio and Proportional Relationships, The Number System, Expressions and Equations, Statistics and Probability, Functions.

Other:Connections to mathematical practices (processes and proficiencies) -- http://www.ted.com/talks/dan_meyer_math-curriculum_makeover.html

Questions?

Cindy.Bryant@dese.mo.gov573-751-1395

Be watching on the DESE website for information regarding an upcoming Mathematics CCSS webinar for additional implementation information and resources for Missouri educators.

THANKS

Trish GoddardSWRPDCMathematics Content Specialistgoddard@missouristate.edu